Washington, D. C. 20549

                        Report of Foreign Private Issuer
                      Pursuant to Rule 13a-16 or 15d-16 of
                       the Securities Exchange Act of 1934

                          For the month of January 2005

                 (Translation of registrant's name into English)

                                  Canons Court
                               22 Victoria Street
                                 Hamilton HM 12
                    (Address of principal executive offices)

     Indicate  by check mark  whether the  registrant  files or will file annual
reports under cover Form 20-F or Form 40-F.

                          Form 20-F X    Form 40-F ______ 

     Indicate by check mark whether the registrant by furnishing the information
contained  in this  Form is  also  thereby  furnishing  the  information  to the
commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                                  Yes_____  No X


     Attached  hereto  as  Exhibit 1 is a copy of the  press  release  issued by
Nordic  American  Tanker  Shipping  Limited (the  "Company") on January 21, 2005
relating to the announcement of the Company's acquisition of a vessel.

Exhibit 1

Nordic  American  Tanker  Shipping Ltd.  (NAT) - (NYSE:  NAT)  Announces  Vessel

Hamilton, Bermuda, January 21, 2005 --

Nordic American  Tanker  Shipping Ltd. (the "Company")  today announced that the
Company has agreed to acquire a double hull suezmax tanker.  The well maintained
tanker was built by a first class yard in the Far East.

Following this acquisition,  the Company will have five environmentally friendly
modern suezmax oil tankers.  The acquired vessel was built in 1998 and the other
four vessels in the NAT fleet in 1997. All the tankers have double hull.

The Chairman & CEO of NAT,  Herbjorn Hansson,  commented:  "I am pleased that we
have been able to do this business  which  represents  an important  step in the
further expansion of our company - a process that we expect will continue.  This
transaction  is in line with the growth  strategy of accretive  acquisitions  to
bolster dividend and earnings per share".

The acquisition  price for the ship of USD 68.25m will be financed with a credit
facility  of USD 300m that the  Company has  established  with an  international
banking syndicate.

NAT  completed  the  transformation  from a  financial  lease  company  into  an
operating company in mid October 2004, and the Company has expanded its fleet by
two vessels after that point in time.

The  Company is  expected  to take over the  acquired  ship at the end of March,
whereafter the ship is expected to be employed in the spot market.


Matters   discussed  in  this  press  release  may  constitute   forward-looking
statements.  The Private Securities  Litigation Reform Act of 1995 provides safe
harbor  protections  for  forward-looking   statements  in  order  to  encourage
companies   to   provide   prospective   information   about   their   business.
Forward-looking  statements  include  statements  concerning plans,  objectives,
goals, strategies,  future events or performance, and underlying assumptions and
other statements, which are other than statements of historical facts.

The  Company  desires to take  advantage  of the safe harbor  provisions  of the
Private  Securities  Litigation  Reform  Act  of  1995  and  is  including  this
cautionary statement in connection with this safe harbor legislation.  The words
"believe,"  "anticipate,"  "intend," "estimate,"  "forecast," "project," "plan,"
"potential,"   "will,"  "may,"   "should,"   "expect,"   "pending"  and  similar
expressions identify forward-looking statements.

The  forward-looking  statements  in this press  release are based upon  various
assumptions,  many of which  are  based,  in  turn,  upon  further  assumptions,
including  without  limitation,   our  management's  examination  of  historical
operating  trends,  data  contained in our records and other data available from
third parties.  Although we believe that these  assumptions were reasonable when
made,   because  these   assumptions  are  inherently   subject  to  significant
uncertainties and contingencies which are difficult or impossible to predict and
are beyond our control,  we cannot assure you that we will achieve or accomplish
these expectations, beliefs or projections. We undertake no obligation to update
any forward-looking  statement,  whether as a result of new information,  future
events or otherwise.

Important  factors  that,  in our view,  could  cause  actual  results to differ
materially from those discussed in the  forward-looking  statements  include the
strength of world economies and currencies, general market conditions, including
fluctuations in charter rates and vessel values, changes in demand in the tanker
market,  as a result of changes in OPEC's petroleum  production levels and world
wide oil consumption and storage,  changes in our operating expenses,  including
bunker  prices,  drydocking  and  insurance  costs,  the market for our vessels,
availability of financing and  refinancing,  changes in  governmental  rules and
regulations or actions taken by regulatory authorities, potential liability from
pending or future  litigation,  general  domestic  and  international  political
conditions,  potential  disruption  of  shipping  routes  due  to  accidents  or
political  events,  vessels  breakdowns  and  instances of  off-hires  and other
important  factors  described  from  time to time in the  reports  filed  by the
Company with the Securities and Exchange Commission, including our Annual Report
on Form 20-F.

                     Scandic American Shipping Ltd
                     Manager for
                     Nordic American Tanker Shipping Ltd.
                     P.O Box 56
                     3201 Sandefjord
                     Tel: + 47 33 42 73 00 

                     Rolf Amundsen
                     Chief Financial Officer
                     Nordic American Tanker Shipping Ltd.
                     Tel: +1 800 601 9079 or + 47 908 26 906
                     Herbj0rn Hansson
                     Chairman & CEO
                     Nordic American Tanker Shipping Ltd.
                     Tel:  +1 866 805 9504 or + 47 901 46 291


        Pursuant to the requirements of the Securities Exchange Act of 1934, 
the registrant has duly caused this report to be signed on its behalf by the 
undersigned, thereunto duly authorized. 


Dated: January 27, 2005                         By:/s/ Herbjorn Hansson 
                                                       Herbjorn Hansson 
                                                       President and 
                                                       Chief Executive Officer

01318.0002 #542272